Patterns formation of gravitactic microorganism in a vertical cylinder is described by the Navier-Stokes equation coupled with the microorganism conservation equation. The control volume method is used to solve numerically these equations. It is found that when the Peclet number is decreased, the cr
Stability analysis of thermo-bioconvection in suspensions of gravitactic microorganisms in a fluid layer
โ Scribed by Z. Alloui; T.H. Nguyen; E. Bilgen
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 569 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0735-1933
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we investigate the effect of heating or cooling from below on the stability of a suspension of motile gravitactic microorganisms in a shallow fluid layer. The linear perturbation theory is used to obtain the stability diagram and the critical conditions for the onset of convection. It is found that the thermo-effects may either stabilize or destabilize the suspension, and decrease or increase the wavelength of the bioconvective pattern.
๐ SIMILAR VOLUMES
This paper studies thermo-bioconvection, a macroscopic convective motion induced in a fluid layer by the combined effect of density stratification caused by the upswimming of oxytactic microorganisms and heating from below. Both agencies affecting the density are destabilizing; therefore, monotonic
The aim of this paper is to investigate the effect of heating from below on the stability of a suspension of motile gyrotactic microorganisms in a fluid layer of finite depth. This problem is relevant to a number of geophysical applications, such as investigation of the dynamics of some species of t
The effect of vertical vibration on the stability of a dilute suspension of negatively geotactic microorganisms in a fluid layer of finite depth is investigated. For the case of high-frequency vibration, solutions of governing equations are decomposed into two components: one which varies slowly wit